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Finding the Third Proportional to 10,865.75 and 26,167.25

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Solution

The third proportional to 10,865.75 and 26,167.25 is: 63,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.75 : 26,167.25 = 26,167.25 : x
  2. Step 2: Convert to fraction form
    10,865.75/26,167.25 = 26,167.25/x
  3. Step 3: Cross multiply
    10,865.75x = 26,167.25 × 26,167.25
  4. Step 4: Simplify right side
    10,865.75x = 684,724,972.56
  5. Step 5: Solve for x
    x = 684,724,972.56/10,865.75
  6. Step 6: Final answer
    x = 63,016.82

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.